Relations between the creep-rupture properties and the fractal dimension of three-dimensional fracture surface in a cobalt-base alloy
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B.B. Mandelbrot et al.  first described the geometrical features of impact fracture surfaces in steels by the fractal dimension, and found that the absorbed energy decreased with increasing fractal dimension of the fracture surface. The fractal dimension of the fracture surface represents self-similarity and complex nature of microstructures on fracture surfaces of materials, depending on the length scale range of the fractal analysis . In the grain-boundary fracture of heat-resistant alloys, the fractal dimension of the fracture surface is associated with steps and ledges, which constitute the grain-boundary serration and are represented by the fractal dimension of the grain boundary, DGB (1 < DGB < 2), in the length scale range smaller than one grain-boundary length [3, 4]. The fractal dimension of the fracture surface is also associated with the pattern of grain-boundary microcracks linked to the fracture surface in the length scale range larger than one grain-boundary length...
KeywordsFracture Surface Fractal Dimension Fractal Analysis Rupture Life Creep Ductility
The authors thank The Iron and Steel Institute of Japan (Tekkou-Kenkyu-Shinkou-Josei) for financial support.
- 2.Dauskardt RH, Haubensak F, Ritchie RO (1990) Acta Metall 38:142Google Scholar
- 5.Tanaka M (1993) Z Metallkd 84:697Google Scholar
- 12.Mandelbrot BB (1985) The fractal geometry of nature. Translated by H. Hironaka, Nikkei Science, TokyoGoogle Scholar
- 14.Langdon TG, Vastava RB (1982) in ASTM STP 765, American Society for Testing and Materials, Philadelphia, p 435Google Scholar
- 15.Evans RW, Wilshire B (1985) Creep of metals and alloys. The Institute of Metals, LondonGoogle Scholar